Find the area of the region. y = x2 − 3x,  y = 4x

Q: Determine the area of the given region. y = x + sin x y 4 3

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Q: Find the area of the shaded region. V2 y = csc e cot è 0- 3x - 2

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Q: Find the area of the shaded region. 10 e e 3 y 3- x = y - 4 y = 1 X = -2 4 y = -1 3.

A: The shaded region is the area between the curves x=y2-4 and x=ey where -1≤y≤1. That is,…

Q: Find the area of the shaded region. y 2+ y = x+ – 2x3 1 y = 0 2 -1 i

A: Given, The function  ; y = 0   and  y = x4 - 2x3  the limits : x = 0  and x = 2 We have to find the…

Q: Find the area of the region between y = 5x“ and y = x- + 6.

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Q: Find the area of the region enclosed by y=2-x and y = r

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Q: Determine the area of the region between y = x+2, y = 2* + x and the y axis. ABC ттт Arial 3 (12pt)…

A: Given curves  y= 2x+x  y=x+2

Q: 3. Find the area of the region enclosed by y =-r² + 6, y = I, y = 5x, and r>0.

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Q: Find the area of the shaded region. Ay y =x - 2x3 y = 0 -1 2 -1- square units 2.

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Q: Find the area of the region between y = x2 and y =  -x2 + 18x.

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Q: find the area of the region. 2y = 4/T, y = 4, and 2y + 2r = 6

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Q: Find the area of the given region. y = x + sin x

A: Given shaded region by pink color, between y = x + sin x and x-axis in the interval 0 to π is:

Q: Find the area of the shaded region. y = x² +1 %3D 5 y = x -1 A 23 2. 2/2

A: Given

Q: Find the area of the given region.

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Q: Find the area of the region enclosed by x = y^2 + 2 and x = 2y+6

A: Please refer to the image below.

Q: Find the area of the shaded region, if it exists. (If an answer does not exist, enter DNE.) y 1 -7x…

A: The definite integral of the function gives us the area under the curve of that function between…

Q: Sketch the region enclosed by y = eš", y = e4", and x = 1. Find the area of the region.

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Q: Find the area of the given region using any method

A: Consider an elemental strip of width dx and height dy in the shaded region,

Q: Determine the area of the region bounded by æ = y? – y – 6 and a = 2y+ 4.

A: Area between two carves = double integration of (dx dy) From given two carves we will find limits of…

Q: Find the area of the region in the first quadrant enclosed by y = Vx, y = 2 – x and y = x².

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Q: Find the area of the region enclosed by y = 2.5x and x = 3.5 – y?.

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Q: Find the area of the shaded region: 1. yA x= 2 2, 4) y= x? y= 0

A: We will find the area of shaded region as following.

Q: Find the area of the region. y? = x°(1 - x²) y 2- -2 2 -2+

A: The question is from the topic of application of Derivatives

Q: 3x 4x e, y = e", and Sketch the region enclosed by y = x = 1. Find the area of the region.

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Q: Find the area of the region bounded by Vx2 + y?=4, y+4%3D0,y-4=0 and x-10=D0

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Q: d. Find the area of the region. 1. y = 2x? - 2 and y = x2 + x

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Q: Find the area of the shaded region. y y= 9 x – x² 15 (7, 14) 10 5 y= 2 x 2 4 6. 10 CO 20

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Q: Y A x = 2y x = y² – 3

A: Given: The graph containing two curves x=y2-3  and  x=2y as follows:

Q: find the area of the portion of the cylinder x²+z²=16 lying inside the cylinder x²+y²=16

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Q: Find the area of the shaded region. y 14 y= 7x- x² 12 10 (5, 10) 6 4 2 y=2 x 2 4 6 8 CO

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Q: 6x Sketch the region enclosed by y = e", y = e0", and x = 1. Find the area of the region.

A: Consider the given curves y=e5x,y=e6x, and x=1. Obtain the intersection point as follows.…

Q: Find the area of the shaded region. y 31 x = y - 4 y = 1 x= e -2 2 4 y= -1

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Q: c) Find the area between: y = 2x + 3 and y = -x² + 10x – 9 %3D

A: We first sketch the region using a graphing calculator The functions intersect at x=2 and x=6

Q: of the region en and y =x? +4

A: 2. Given curve is: y=-x2-2x When y = 0 we get, -x2-2x=0⇒xx+2=0⇒x=0 ; x=-2 Then the area is:…

Q: Find the area of the region enclosed by x = y² and y = x−2.

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Q: Find the area of the given region. y = x − x2

A: The given region is the colored portion of the following graph: Lower limit of x value is 0 and the…

Q: a) Find the area of the shaded region. 1) ii) y= T 2x=2-

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Q: Find the area of the shaded region. y =x – 2 2- y= Vx 1+ + 3 4 -1 square units 2.

A: Given that: To find: Area of the shaded region.

Q: Find the area of the region enclosed by x = y² – 4y + 2 and x = y - 2.

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Q: Find the area of the shaded region. y 3- x= y - 6 y = 1 (x = e' -2 2 4 H y = -1 2. 2. 3.

A: Consider the graph

Q: Q2 Find the area of the shaded region. (a) YA x= y² – 4y (-3, 3)– x= 2y – y²

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Q: Find the area of the region enclosed by t 4x² + y = 4 and x* - y = 1.

A: Here we have to find find the area enclosed by the region 4x2+y=4 ...............(1) and…

Q: Find the area of the shaded region. y 3 x= y - 3 y = 1 x = ey - 4 -2 2 4 y = -1 -2 -3 2.

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Q: Find the area of the shaded region. y = x² + 1 ... 5 y = x -1 2.

A: In given problem we find the area by using the Definite Integration .

Q: Find the area of the region described in the following The region bounded by y = Vx,y = 2x - 15, and…

A: Consider the curves  y=xy=2x−15y=0

Q: Find the area of the shaded region. 12) y = Jx - 3 (16,1) 16 (0, -3)

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Q: Find the area of the region enclosed by y = x² – 2x and y =3.

A: Our objective is to find the area.

Q: Find the area of the region between y = 4x² and y = a? + 2.

A: Explained below

Q: Find the area of the region enclosed by x = y' and x Vy- 6. Answer:

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